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Simplifying 23 = 12 + -1(6 + z) 23 = 12 + (6 * -1 + z * -1) 23 = 12 + (-6 + -1z) Combine like terms: 12 + -6 = 6 23 = 6 + -1z Solving 23 = 6 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 23 + z = 6 + -1z + z Combine like terms: -1z + z = 0 23 + z = 6 + 0 23 + z = 6 Add '-23' to each side of the equation. 23 + -23 + z = 6 + -23 Combine like terms: 23 + -23 = 0 0 + z = 6 + -23 z = 6 + -23 Combine like terms: 6 + -23 = -17 z = -17 Simplifying z = -17
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